Скачать или смотреть Trig Functions… But for Hyperbolas? | Hard Daily Integral 12/31/25

Welcome to The Natural Hogarithm! Today we tackle the December 31st hard difficulty Daily Integral, a unique inverse hyperbolic trig function that collapses to a clean, closed-form solution!

Difficulty: 7/10

If you want to try this problem—or other integrals like it—for yourself, go visit the Daily Integral website: https://dailyintegral.com/

Chapters:

0:00 Intro
1:19 Hyperbolic Trig
5:38 Defining Formulas
9:05 Rewriting arcsech(x)
13:23 Solving Quadratic
15:27 Plus or Minus
18:40 Applying New Formula
19:37 Cleaning Up
22:06 Substitution
23:40 Simplifying Arg.
29:15 Integration by Parts
32:15 Evaluating Bounds
33:02 Solution

Music:
let your mind slow — piano session. | panoir
   • let your mind slow — piano session.